λ
Math Directory

8,197,334

2 × 997 × 4111
Deficient Even Composite

8,197,334 factors as 2 × 997 × 4111. Its 8 positive divisors give a proper-divisor sum of 4,113,994, so this integer is deficient. The Collatz stopping time is 230 steps.

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Prime Factor Structure

Factorization String 2 × 997 × 4111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,311,328
Proper Divisor Sum 4,113,994
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8197331 ← → #8197339

Radix Representation

Decimal 8197334
Binary 11111010001010011010110 (23 bits)
Octal 0o37212326
Hexadecimal 0x7D14D6

Divisor Catalog (5 of 8)

1 2 997 1,994 4,111

Collatz Trajectory (230 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,197,334 4,098,667 12,296,002 6,148,001 18,444,004

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